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Maharashtra State BoardSSC (English Medium) 10th Standard

Decide whether the following equation is quadratic equation or not. yyy2+1y=2 - Algebra

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Question

Decide whether the following equation is quadratic equation or not.

`"y"^2 + 1/"y" = 2`

Sum
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Solution

`"y"^2 + 1/"y" = 2`

∴ `"y" xx "y"^2 + "y" xx 1/"y" = "y" xx 2` ....[Multiplying both sides by y]

∴ y3 + 1 = 2y

∴ y3 − 2y + 1 = 0

Here y is the only variable and the maximum index of the variable is not 2.

∴ It is not a quadratic equation.

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Chapter 2: Quadratic Equations - Practice Set 2.1 [Page 34]
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